Linear Regression, Clearly Explained!!!

Рет қаралды 206,799

Күн бұрын

The concepts behind linear regression, fitting a line to data with least squares and R-squared, are pretty darn simple, so let's get down to it! NOTE: This StatQuest comes with a companion video for how to do linear regression in R: • Linear Regression in R...
You can also find example code at the StatQuest github: github.com/StatQuest/linear_r...
If you'd like to support StatQuest, please consider...
Patreon: / statquest
...or...
KZfaq Membership: / @statquest
...buying my book, a study guide, a t-shirt or hoodie, or a song from the StatQuest store...
statquest.org/statquest-store/
...or just donating to StatQuest!
www.paypal.me/statquest
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
/ joshuastarmer
0:00 Awesome song and introduction
0:37 The Main Ideas!!!
1:12 Review of fitting a line to data
4:00 Review of R-squared
12:13 R-squared for a multivariable model
14:16 Why adding variables will never reduce R-squared
16:08 Calculating a p-value for R-squared
25:26 The F-distribution
Correction:
25:39 I should have (Pfit - Pmean) instead of the other way around.
#statquest #regression

Пікірлер: 224

@statquest Жыл бұрын

NOTE: 25:39 I should have (Pfit - Pmean) instead of the other way around. Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

@tonysvlogs881 7 ай бұрын

I struggled understanding this topic through a textbook/ professor videos online, and this was just a great explanation. It was like watching this video, made all the pieces finally fit

@statquest 7 ай бұрын

Hooray! :)

@Bang-_-Bang 4 ай бұрын

Yo bruh seriously I don't understand anything 😭😞

@infamousprince88 Жыл бұрын

This assisted me in delivering a presentation for a job interview -- landed the opportunity. Thanks!

@statquest Жыл бұрын

TRIPLE BAM!!! Congratulations!!! :)

@fooballers7883 3 ай бұрын

I wish I had your lecture 50 yrs ago.... never too late learning it again today. thank you

@statquest 3 ай бұрын

Thanks!

@undeadsatan3317 Жыл бұрын

I'm in my stats class but watching this instead of listening to my professor lol 💀

@statquest Жыл бұрын

bam!

@bread_enjoyer Жыл бұрын

Double bam!

@thejasnair9424 3 ай бұрын

Ternary Bam!!!

@Alappavan 3 ай бұрын

Qudary bam!!!!

@justhydr 2 ай бұрын

Penta bam!

@user-xn5ut5pn2h 8 ай бұрын

I'm an electrical engineer who wanted to learn about machine learning, and your videos helped me understand all the fundamentals of this field. Thank you so much, sir

@statquest 8 ай бұрын

Happy to help! :)

@ioanamihai4368 Жыл бұрын

Wow...i was searching for this on your channel last week and I was so sad I didnt find it... luckily i still have time to study for the test. Thank you!

@statquest Жыл бұрын

Good luck! :)

@imakechannel Жыл бұрын

I struggle understanding this topic but it is Great to learn from someone who can explain things in a simple manner with eloquence

@statquest Жыл бұрын

Thanks!

@awaisqaisar6696 10 ай бұрын

@@statquest Agreed. You articulate well and make the subject simple and easy to understand.

@NaderNabilart Жыл бұрын

Great work! The graphics made it super easy to understand.

@statquest Жыл бұрын

Glad it helped!

@krishnendusinha4409 Жыл бұрын

Your videos are awesome! Thanks a lot for making complex concepts simpler. It will be helpful if you clearly explained Discrete probability distributions

@statquest Жыл бұрын

I cover the binomial here: kzfaq.info/get/bejne/gJ6agdJ3krGcdWw.html

@user-dm3vd7ig1e 3 ай бұрын

Love the musical introduction. Such a nice touch to prime you beforehand :)

@statquest 3 ай бұрын

Thank you!

@user-bz7fj1fk2m Жыл бұрын

10QUVM for your valuable presentation!!! You made me feel proud in my STAT!!!

@statquest Жыл бұрын

BAM! :)

@jamesahn3865 Жыл бұрын

I had to buy a study guide book after watching this video...! This is a great video!!

@statquest Жыл бұрын

Thank you so much for your support!

@fabslyrics 2 ай бұрын

thank you friendly folks of the genetics departement of NC Chapel Hill , greetings from Paris France.

@statquest 2 ай бұрын

Thank you!

@bhargav1811 Жыл бұрын

This was truly advanced concept for me !!! :)

@statquest Жыл бұрын

You can do it! :)

@kimiko495 2 ай бұрын

wow this make so much sense! I'm pissed why college professors don't teach like this, it was a waste of time to sit in their classes being so confused right from the start. I can't thank you enough for your videos!

@statquest 2 ай бұрын

Thank you!

@SofiaBuyanova Жыл бұрын

Thank you for the great video! Please note that from the second 25:49 the degrees of freedom for the numerator should be (Pfit-Pmean), otherwise it is less than 0.

@statquest Жыл бұрын

Thanks! In theory KZfaq is supposed to alert people of that typo, but maybe it doesn't always work. (I just tried it and it worked for me).

@DSharma117 18 күн бұрын

Thanks Josh, your channel is recommended from Murdoch University,Australia lecturers. Worth watching your channel

@statquest 18 күн бұрын

Thanks!

@anlinli6463 11 ай бұрын

Thank you Josh! You are truly helping me with the difficult reviewers' comments🤣.

@statquest 11 ай бұрын

Good luck!

@muntazirabidi 7 ай бұрын

Thank you. Wonderfully explained!!

@statquest 7 ай бұрын

Glad it was helpful!

@penguinmonk7661 11 ай бұрын

I always have a good time with Statquest :3

@statquest 11 ай бұрын

bam!

@marm_sam_bamb 2 ай бұрын

Awesome channel! I just bought your book too!

@statquest 2 ай бұрын

TRIPLE BAM!!! Thank you very much for supporting StatQuest!!!

@muhammedfarispk1687 7 ай бұрын

I am enjoying this teaching method 😍

@statquest 7 ай бұрын

Thank you!

@muhammadomarkhayyamkhan3593 Ай бұрын

Your explanations are wonderful. Please just recommend the book should be studied with your videos. Please make videos on chi-Squared distribution, Monte Carlo Simulations and Hypotheses testing. Thanks for your valuable help.

@statquest Ай бұрын

My favorite book to go along with my videos is The StatQuest Illustrated Guide To Machine Learning. You can get it here: statquest.org/statquest-store/

@antonyshadowbanned Жыл бұрын

You are indeed a God among mortals. And as such you shall be praised. Tons of gratitude for blessing us with your pristine insight Father Majesty.

@statquest Жыл бұрын

Wow, thank you!

@lynnamanda4093 9 ай бұрын

Thank you so much Josh !

@statquest 8 ай бұрын

Thanks!

@12PEN12 Жыл бұрын

Hats off to StatQuest!!!

@statquest Жыл бұрын

Thank you!

@kushagrastripathi Жыл бұрын

Very helpful. Thank you

@statquest Жыл бұрын

Thanks!

@user-gv7fs7hv3b Ай бұрын

thank you. that was very clear

@statquest Ай бұрын

Thanks!

@ashutoshshrivastava1305 Жыл бұрын

Amazing explanation

@statquest Жыл бұрын

Thanks!

@B-hooktuber 2 ай бұрын

Cool merch you could probably easily create would be a workbook to pair with your book where we could practice calculating R2 for exemple in different scenarios. That way, everytime you learn a new concept you can practice doing the formulas :) i'd totally buy that 😏 and maybe links to extra videos or explainations on the concepts that are a little harder to comprehend for people that are completely new to this field and a little slow lol(like linear regression 😅)

@statquest 2 ай бұрын

That's a great idea!

@simplemindedperson 8 ай бұрын

Thank you for the nice video! I wonder for your explanation to the F curves around 25:53, shouldn't it be (p_{fit} - p_{mean})=1? In addition, would you please provide the link to your video about the degrees of freedom if that is already available?

@statquest 8 ай бұрын

Yes, that is a typo. And, unfortunately, I haven't made the degrees of freedom video yet. However, it's still on the todo list.

@simplemindedperson 8 ай бұрын

@@statquest Thank you! I look foreward to your new ones

@jix8874 4 ай бұрын

@@statquest looking forward to the degrees of freedom video too!

@khoiphamang4166 Жыл бұрын

I have a question, in 5:24 why the variance is calculated dividing by n instead of n-1, I thought all the observed data points are just a sample of a bigger population includes data points which we haven't observed yet. I'm sorry if my English confuse you because it isn't my mother tongue

@statquest Жыл бұрын

In this context, the way we use variation means that denominator will cancel out, so it really doesn't matter which one (n or n-1) we use.

@timbui5556 9 ай бұрын

Thank you for making this series of statistic videos. One question please: I want to calculate the least squares growth rate of sales for a company. Would I have "higher quality" growth rate by using quarterly sales (40 pieces of data) vs. annual sales (10 pieces of data). Would the seasonality (Christmas sales higher) affects of quarterly sales and distort the growth rate? Thanks,

@statquest 9 ай бұрын

It sort of depends on how exactly you want to model and what you want to get out of the model. If you want to take seasonality into account, then you need to fit a periodic function (like a sine function) to your quarterly data. That said, the easiest thing to do would be to start with annual sales and see how useful that is.

@timbui5556 9 ай бұрын

@@statquest Thank you so much for taking the time to answer my question!

@gnosmik Жыл бұрын

This is an excellent video Josh, thank you! I understand all well until you explain about p-value 23:58. So we were using a dataset of mouse size/weight and weight/tail length/body length, but I'm confusing where the 'random dataset' comes from when you calculate p-value. Could you explain a bit further about this please?

@statquest Жыл бұрын

The idea is to give you an intuitive sense of what the p-values associated with linear regression represent. So, to start with, we had 9 data points (9 pairs of weight/height measurements) and fitted a line to it and calculated the F value. That is the "observed" F value generated from the original, raw data. Now pair 9 random values for height (and these could be any reasonable values for height that you randomly select) with 9 random values for weight (and these could be any reasonable values for weight). Calculate the F for those pairs of random values and put that in a histogram. Then repeat until we've done that a lot of times and compare the observed F value from the original data to the histogram.

@gnosmik Жыл бұрын

@@statquest Thanks for explaining all. Much appreciate it. So those 'random values' are completely random, just made up within the range of the normal dataset, right? Then when we are calculating F and p values in SPSS or R, do those softwares go through this process? It might be a bit silly questions, hopefully I'm not too far away!

@statquest Жыл бұрын

@@gnosmik That's the idea. However, as mentioned at 25:26, in practice, people (and software) just use an F-distribution (which is an equation for a curved line) to calculate the p-value. The idea of using random data is just to give you an intuition of what the curved line created by the F-distribution represents.

@gnosmik Жыл бұрын

@@statquest Excellent! Thanks Josh

@prithvidhyani1991 2 ай бұрын

Great video overall! But I'm a little confused with your description of calculating a p-value for the R^2. Does this mean we are treating R^2 as a random variable itself and looking at its distribution? Because to me it seems like it is the f-statistic that follows an f-distribution, hence we are calculating a p-value for the f-stat, not the R^2 itself, which(correct me if I'm wrong) does not follow any specific distribution. So what exactly is the connection between the R^2 and the f-stat and its corresponding p-value?

@statquest 2 ай бұрын

The f-statistic is what we use to calculate the p-value for the r-squared.

@lattoufj Ай бұрын

Hi Josh, Very nice video! Shouldn't the distances from the points to the line be a perpendicular?

@statquest Ай бұрын

If they were perpendicular, than we would lose the relationship between the variable on the x-axis and the variable on the y-axis, and the whole point is to use an x-axis value to predict a y-axis value. Thus, the residuals are parallel with the y-axis - this preserves the relationship that we want to use to make predictions.

@mahammadodj Жыл бұрын

Does n equals to the number of data points in F equation? For example, we should take 9 for n in 22:40 ?

@statquest Жыл бұрын

Yes

@johnlemon1595 9 ай бұрын

Hi josh, while getting to R^2, you give the formula y= (data-mean)^2. This contradicts your StatQuest "Fitting a line to the data", where your formula was "(b-y1)^2+(b-y2)^2+...", meaning "(intersect-data)^2. Now i already understood that by squaring the difference you get the same positive value, so the order doesn't matter for this purpose. Is there another reason why you put it in the order "(data-mean)^2" in this video? Thanks. Love the videos, just watching for fun

@statquest 9 ай бұрын

Since order doesn't matter, it's hard for me to remember to be consistent.

@johnlemon1595 9 ай бұрын

Okay great, just was wondering if i was missing something here @@statquest

@catcen9631 Жыл бұрын

insanely good video

@statquest Жыл бұрын

Thank you! :)

@theolau7335 Жыл бұрын

Very nice, thank you

@statquest Жыл бұрын

@utku_bambu Жыл бұрын

thank you for this

@statquest Жыл бұрын

Thanks!

@alabenmed4661 Жыл бұрын

hello i love watcing your video they are entertaining and educaional but i saw some other videos of ways to determine intercept and slope of a line im wondering if you have a video about that or is there a better approach ?

@statquest Жыл бұрын

There are a number of ways to do it. One is to use an analytical solution. Take the derivatives of the equation with respect to the different variables (in this case, the slope and the intercept) and then solve for when those derivatives are equal to 0. For linear regression, this is a fine way to solve the problem, but it only works in this one case. A more general solution is to use something called Gradient Descent. This works on regression problems and many, many more. For details about Gradient Descent, see: kzfaq.info/get/bejne/qaqmZ8ll2Ji3cmw.html

@alabenmed4661 Жыл бұрын

@@statquest thanks man have ag reat day

@JasonKaros Жыл бұрын

Why was the original Linear Regression video removed for this one? Is the information of this more accurate or clearer?

@statquest Жыл бұрын

Without telling me, KZfaq put the original video behind a paywall, so re-uploaded it so it would still be free

@kartikeysingh6550 Жыл бұрын

Around which point do we rotate the line ???????? Beautiful lecture..really easy to understand

@statquest Жыл бұрын

There are two different ways to fit the line to data. The one most commonly used is to simply do the math and solve for the optimal fit (take the derivative with respect to the squared residuals and solve for where it is equal to 0). However, that method only works in this specific situation. A more general method is based on the "rotate the line approach" that I illustrate in this video. To learn more about it (how to rotate the line), see my video on Gradient Descent: kzfaq.info/get/bejne/qaqmZ8ll2Ji3cmw.html

@abdullahs9500 Жыл бұрын

That was a really mice explanation.. Thank you!

@statquest Жыл бұрын

Ha! Nice one! :)

@abdullahs9500 Жыл бұрын

🌹😄

@aitorolaso1352 5 ай бұрын

absolute masterpiece

@statquest 5 ай бұрын

Thank you!

@lilysun1296 Жыл бұрын

Thanks for the video. Could you please explain more why SS(fit)/(n-pfit) instead of n here 22:48? Thanks a lot.

@statquest Жыл бұрын

This has to do with "degrees of freedom" and one day I hope to cover that topic in full.

@zauraiz Жыл бұрын

@@statquest Looking forward to the degrees of freedom video! Parameters have always been a confusing topic for me

@user-qy3xv8lp6j Жыл бұрын

Thank you ever so much!

@statquest Жыл бұрын

You're very welcome!

@mmkvhornet7522 18 күн бұрын

thanks for the video

@statquest 18 күн бұрын

You're welcome!

@apak-iw3jp 3 ай бұрын

u just earned a subcriber

@statquest 3 ай бұрын

bam! :)

@looklook6075 4 ай бұрын

I was always wondering why the model chooses to use R2 rather than absolute value of R, until you draw that polynomial out of all sum of squares. It makes sense now

@statquest 4 ай бұрын

Hooray!

@Tatya1905 Ай бұрын

What is the value n (that was mentioned while explaining the degrees of freedom)?

@statquest Ай бұрын

n = the number of data points in the graph.

@sopeadaralegbe8077 Жыл бұрын

is residual the difference between the observed value of the dependent variable and the predicted value or the difference between the overall mean of the dependent and the observed value

@statquest Жыл бұрын

The residual is the difference between the observed and predicted values.

@user-co6pu8zv3v Жыл бұрын

Thank you :)

@statquest Жыл бұрын

You're welcome!

@stevinbrat 4 ай бұрын

you are a genius!

@statquest 4 ай бұрын

Thanks!

@user-xs9ug2tw5c 4 ай бұрын

Question. Why are we calculating R2 value and the p value? Is it the industry standard? Or else What led to the decision that you included it with linear regression. Theoretically Lin reg is complete before that right?(Making concepts clear)

@statquest 4 ай бұрын

If you just want to fit a line to data, you can used the method of least squares. However, if you want to quantify how well that line fits your data, then you use Linear Regression. Linear Regression consists of using least squares to fit the line to the data and then calculating r^2 and its p-value to evaluate how well that line fits the data.

@user-xs9ug2tw5c 4 ай бұрын

@@statquest still confused.. as you said 'how well it fits the data', so the r2 and p value are tests for evaluation right? dont they have alternatives? or is it necessary to do exactly these steps. I'll still get a logistic regression model but it may not be the best one without them? Or are you saying that these, or some other alternatives tests are necessary to do, to assess the model and this repeats iteratively until best fit?

@statquest 4 ай бұрын

@@user-xs9ug2tw5c They do have alternatives, so, as you say, you might think of r^2 and its corresponding p-values as the 'industry standards'. Pretty much every program that offers a linear regression function will give you those as outputs. However, there are alternatives, and you can read more about them here: developer.nvidia.com/blog/a-comprehensive-overview-of-regression-evaluation-metrics/ among other places.

@user-xs9ug2tw5c 4 ай бұрын

@@statquest Thanks a lot for clearing that

@kuraldeepdives9319 Жыл бұрын

@26:21 Should the curves say ( P fit- P mean)=1 ?

@statquest Жыл бұрын

Yes! That's funny that it's been like that forever, but you finally caught it. Thanks!

@kuraldeepdives9319 Жыл бұрын

@@statquest Haha the credit goes to you for teaching the concepts so well to a newbie! BAM! 😁

@jenwilson7779 9 ай бұрын

Thanks!

@statquest 9 ай бұрын

BAM!!! Thank you so much for supporting StatQuest!!!

@jenwilson7779 9 ай бұрын

Of course! I am the person who is embarrassed on the inside that I don't get the stats terms when thrown around at work, but know that I'm memorized them so know what they are, but really don't understand the "why" or how it all relates. Thank you so much for speaking slowly in your videos, reiterating concepts, sometimes with additional concepts in between, and your humor. It's fun. I'm grateful. @@statquest

@rahoolmahool-programming5499 Жыл бұрын

I got pregnant two times while learning SGD from you. This is the hundredth time i'm jumping from a video to another video.

@statquest Жыл бұрын

@ajalanbrown2200 4 ай бұрын

i had to like just because of the song

@statquest 4 ай бұрын

bam! :)

@VirtuosicBeats Жыл бұрын

Awesome, but can we do this without squaring? Why can't we just sum the residuals without any squaring, it looks like it should give us the sum of all distances and then we could plot it in the same way and pick the rotation that gives us the least sum of non-squared residuals and it should still work, curious why do we choose to square it, thank you so much for the video

@statquest Жыл бұрын

If the "distances" below the line are negative, they will cancel out the ones above them, so that's a problem. However, we could then take the absolute value so that everything is positive. This could work if Linear Regression was actually solved the way I've presented it here. However, in practice, when you square the distances, you can solve for the optimal parameters directly by taking the derivative of the squared residuals with respect to each parameter, setting those derivatives equal to 0 and then solving for the parameter values.

@VirtuosicBeats Жыл бұрын

@@statquest Thank you so much , it makes sense now

@joshuaaddo1609 4 ай бұрын

This is great

@statquest 4 ай бұрын

Thanks!

@mathematics6199 2 ай бұрын

Hey hi, R squared can be negative as well right?

@statquest 2 ай бұрын

Not in the context of linear regression. In other contexts, though, it can be.

@mathematics6199 2 ай бұрын

@@statquest R^2 is just a metric right, and I can set the coefficients of independent variables in such a way that variance(error) exceeds variance(y),( as variance(error) = variance(y* - y), (where y* is the infered value, and y is the actual value) , I can always make y*-y infinitely high for one datapoint, by choosing appropriate coefficients ), or am I wrong? Please correct me.

@statquest 2 ай бұрын

@@mathematics6199 Yes, in theory, you can do that - but that's not linear regression. In linear regression we don't just set the coefficients to whatever we want. We set them so that they minimize the sum of the squared residuals. And this is why R^2 isn't negative in this context. However, in other contexts, where you can do whatever you want, yes, it can be negative.

@mathematics6199 2 ай бұрын

@@statquest Thank you so much.

@derekc.5063 4 күн бұрын

At 15:15, how does least squares cause any useless variable to be multiplied by 0? I thought Lasso regression excludes variables.

@statquest 4 күн бұрын

Least squares can do it in principle, but not very well. Lasso is much more effective, and lasso also works when there are more variables than data.

@streampunksheep 8 ай бұрын

I am going to statquest Isle!~

@AutoDisheep 8 ай бұрын

The greatest island on earth!

@statquest 8 ай бұрын

Bam!!

@user-cr6zu5mm5j Жыл бұрын

I don't understand why least squares can cause any term that will make ss(fit) worse to be multiplied by 0. Is it because mean squares differential the equation? 15:20

@user-cr6zu5mm5j Жыл бұрын

or is it because things like ridge regression can shrink the coefficients to 0?

@statquest Жыл бұрын

Least squares minimizes the sum of the squared residuals and if setting a parameter = 0 reduces the SSR, then that's what will happen.

@exarchoskanelis84 Жыл бұрын

Legend

@statquest Жыл бұрын

Thanks!

@puneetkumarsingh1484 5 ай бұрын

Not that it matters here but the shouldn't the sample variance formula have n-1 instead of n?

@statquest 5 ай бұрын

In this case it doesn't matter.

@ritubhatt7367 Жыл бұрын

I am not able to find the video 'Fitting a line to the data'

@statquest Жыл бұрын

I have contacted KZfaq about this problem, but, unfortunately, they are all on vacation until next week. :( The good news is that this video does a pretty good job summarizing the concepts in that other video.

@apak-iw3jp 3 ай бұрын

its like years since u uploaded this

@statquest 3 ай бұрын

I know! This one is classic! It might even be "pre BAM!"

@prachirahate1631 3 ай бұрын

awesoommeeeeee!

@statquest 3 ай бұрын

Thanks!

@atharvigupta4250 Ай бұрын

so is mouse size a confounder?

@statquest Ай бұрын

What time point, minutes and seconds, are you asking about?

@atharvigupta4250 Ай бұрын

how do you come with the equation

@statquest Ай бұрын

What time point, minutes and seconds, are you asking about?

@user-xn5ut5pn2h 8 ай бұрын

This video is BAMMMMMMMMMM

@statquest 8 ай бұрын

Thanks! :)

@vatanrangani8033 8 ай бұрын

so is R square , a correlation coefficient?

@statquest 8 ай бұрын

It is the square of the correlation coefficient.

@hoanglexuan7861 3 ай бұрын

can you do Quantile Regression?

@statquest 3 ай бұрын

I'll keep that in mind.

@sopeadaralegbe8077 Жыл бұрын

what's the difference between RSS and SS(fit) ?

@statquest Жыл бұрын

They are the same. However, I changed notation so that I could specify when which model we were using to make the predictions. SS(fit) is the RSS around the fitted line and the SS(mean) is the RSS around the mean.

@daraghfarnan1204 Жыл бұрын

Bam! Bam! Bam!

@statquest Жыл бұрын

Triple bam!!! :)

@demalegabi Жыл бұрын

I think at kzfaq.info/get/bejne/baeioKWHq5jIc6c.html the slide meant to say (SS(mean) - SS(fit))/(p_fit - p_mean) for the numerator?

@statquest Жыл бұрын

Yep

@apak-iw3jp 3 ай бұрын

could i ask u my doubts in this video

@statquest 3 ай бұрын

Sure!

@apak-iw3jp 3 ай бұрын

wow

@statquest 3 ай бұрын

@alexandrumatei6800 Жыл бұрын

i lov u josh starmer

@statquest Жыл бұрын

Thanks!

@alexandrumatei6800 Жыл бұрын

@@statquest y- you too

@396me 4 ай бұрын

I didn’t get what is actual R

@statquest 4 ай бұрын

It's the correlation coefficient. For details, see: kzfaq.info/get/bejne/rsCPrZt8vNHMiHk.html and kzfaq.info/get/bejne/aKeBftColprReIE.html

@apak-iw3jp 3 ай бұрын

dude u are funny

@statquest 3 ай бұрын

Thanks!

@apak-iw3jp 3 ай бұрын

u sound like technoblade

@statquest 3 ай бұрын

Thanks!

@second1799 2 ай бұрын

nah bro def made it harder

@statquest 2 ай бұрын

Sorry about that. Is there a time point (minutes and seconds) where things got confusing?

@Perfectfluid 3 ай бұрын

What is the difference between this video and the previous one in 2017? kzfaq.info/get/bejne/pNFidrR6udPDlaM.html

@statquest 3 ай бұрын

I don't think there's a difference - I had to re-release this video (and my other linear models videos) because KZfaq made an error.

@WankhadeTejasSuresh Жыл бұрын

Please add this video to the linear regression playlist and remove the existing video from there as it doesn't open

@statquest Жыл бұрын

I'm working on getting the original video out from behind the paywall. I've contacted KZfaq but they're on holiday until next week.

@apak-iw3jp 3 ай бұрын

yo how did u respond to me

@statquest 3 ай бұрын

I keep track of all of my videos. bam! :)

@TheFunofMusic Жыл бұрын

First :)

@statquest Жыл бұрын

BAM! :)

@PINEDARONALD 3 ай бұрын

i don't understand anything :(

@statquest 3 ай бұрын

What time point, minutes and seconds, did you get confused?

@PINEDARONALD 3 ай бұрын

@@statquest stop watching because I didn't understand from the very beginning but I want to understand I am not math expert

@statquest 3 ай бұрын

@@PINEDARONALD Try starting with this video: kzfaq.info/get/bejne/hsd2g8WTm5yoqIU.html or maybe this one: kzfaq.info/get/bejne/aKeBftColprReIE.html

@PINEDARONALD 3 ай бұрын

@@statquest is myself bro that I have struggled with math I will watch both videos again until I understand

@gamingtitan0 Ай бұрын

Damn, this makes no sense 😢😢

@statquest Ай бұрын

What time point, minutes and seconds, did things get confusing?

@ProfessorQwQ 11 ай бұрын

good video but god this is so cringe

@statquest 11 ай бұрын

@user-hf2ds9df8q 7 ай бұрын

how is math cool ??????

@statquest 7 ай бұрын

In so many ways.